RBSE Maths Class 11 Chapter 6: Important Questions and Solutions

RBSE Solutions for Class 11 Maths Chapter 6 – Linear inequalities are available here. The important questions and solutions of Chapter 6, available at BYJU’S, contain step by step explanations along with the solutions. All these important questions are based on the new pattern prescribed by the RBSE. Students can also get the syllabus and textbooks on RBSE Class 11 solutions.

Chapter 6 of the RBSE Class 11 Maths will help the students to solve problems related to inequalities, algebraic solutions of linear inequalities, graphical solution of linear inequalities, solution of the system of linear inequalities. After referring to these important questions and solutions, you can refer to 2020-2021 solutions for the chapter here.

RBSE Maths Chapter 6: Textbook Important Questions and Solutions

Question 1: Solve the following inequalities.

[i] 4x + 4 < 5x + 7

[ii] 3x – 9 > 5x – 1

Solution:

[i] 4x + 4 < 5x + 7

Subtracting 7 from both the sides, we get

4x + 4 – 7 < 5x + 7 – 7

4x – 3 < 5x

Subtracting 4x from both the sides,

4x – 3 – 4x < 5x – 4x

x > – 3

The solutions of the inequality given are defined by the real numbers which are greater than -3.

The required solution set is (-3, ∞)

[ii] 3x – 9 > 5x – 1

3x – 9 > 5x – 1

Adding 9 to both the sides, we get

3x – 9 + 9 > 5x – 1 + 9

3x > 5x + 8

Subtracting 5x from both the sides,

3x – 5x > 5x + 8 – 5x

-2x > 8

Divide both sides by -2

-2x / -2 < 8 / -2

x < -4

The solutions of the given inequality are defined by all the real numbers which are less than -4.